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Finding the Fourth Proportional to 476.39, 656.34 and 358.17

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Solution

The fourth proportional to 476.39, 656.34 and 358.17 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 656.34 = 358.17 : x
  2. Step 2: Convert to fraction form
    476.39/656.34 = 358.17/x
  3. Step 3: Cross multiply
    476.39x = 656.34 × 358.17
  4. Step 4: Simplify right side
    476.39x = 235,081.30
  5. Step 5: Solve for x
    x = 235,081.30/476.39
  6. Step 6: Final answer
    x = 493.46

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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.