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Finding the Fourth Proportional to 312.80, 466.86 and 266.22

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Solution

The fourth proportional to 312.80, 466.86 and 266.22 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 466.86 = 266.22 : x
  2. Step 2: Convert to fraction form
    312.80/466.86 = 266.22/x
  3. Step 3: Cross multiply
    312.80x = 466.86 × 266.22
  4. Step 4: Simplify right side
    312.80x = 124,288.47
  5. Step 5: Solve for x
    x = 124,288.47/312.80
  6. Step 6: Final answer
    x = 397.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.