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Finding the Fourth Proportional to 466.76, 644.14 and 256.94

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Solution

The fourth proportional to 466.76, 644.14 and 256.94 is: 354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 644.14 = 256.94 : x
  2. Step 2: Convert to fraction form
    466.76/644.14 = 256.94/x
  3. Step 3: Cross multiply
    466.76x = 644.14 × 256.94
  4. Step 4: Simplify right side
    466.76x = 165,505.33
  5. Step 5: Solve for x
    x = 165,505.33/466.76
  6. Step 6: Final answer
    x = 354.58

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Find fourth proportional to 233.38, 322.07 and 128.47
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.