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Finding the Fourth Proportional to 466.30, 643.71 and 356.23

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Solution

The fourth proportional to 466.30, 643.71 and 356.23 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.30 : 643.71 = 356.23 : x
  2. Step 2: Convert to fraction form
    466.30/643.71 = 356.23/x
  3. Step 3: Cross multiply
    466.30x = 643.71 × 356.23
  4. Step 4: Simplify right side
    466.30x = 229,308.81
  5. Step 5: Solve for x
    x = 229,308.81/466.30
  6. Step 6: Final answer
    x = 491.76

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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.