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Finding the Fourth Proportional to 466.46, 643.17 and 291.62

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Solution

The fourth proportional to 466.46, 643.17 and 291.62 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 643.17 = 291.62 : x
  2. Step 2: Convert to fraction form
    466.46/643.17 = 291.62/x
  3. Step 3: Cross multiply
    466.46x = 643.17 × 291.62
  4. Step 4: Simplify right side
    466.46x = 187,561.24
  5. Step 5: Solve for x
    x = 187,561.24/466.46
  6. Step 6: Final answer
    x = 402.10

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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.