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Finding the Fourth Proportional to 466.53, 643.10 and 291.57

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Solution

The fourth proportional to 466.53, 643.10 and 291.57 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 643.10 = 291.57 : x
  2. Step 2: Convert to fraction form
    466.53/643.10 = 291.57/x
  3. Step 3: Cross multiply
    466.53x = 643.10 × 291.57
  4. Step 4: Simplify right side
    466.53x = 187,505.45
  5. Step 5: Solve for x
    x = 187,505.45/466.53
  6. Step 6: Final answer
    x = 401.92

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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.