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Finding the Fourth Proportional to 468.32, 647.15 and 358.56

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Solution

The fourth proportional to 468.32, 647.15 and 358.56 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 647.15 = 358.56 : x
  2. Step 2: Convert to fraction form
    468.32/647.15 = 358.56/x
  3. Step 3: Cross multiply
    468.32x = 647.15 × 358.56
  4. Step 4: Simplify right side
    468.32x = 232,042.10
  5. Step 5: Solve for x
    x = 232,042.10/468.32
  6. Step 6: Final answer
    x = 495.48

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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.