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Finding the Fourth Proportional to 401.68, 601.70 and 291.92

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Solution

The fourth proportional to 401.68, 601.70 and 291.92 is: 437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 601.70 = 291.92 : x
  2. Step 2: Convert to fraction form
    401.68/601.70 = 291.92/x
  3. Step 3: Cross multiply
    401.68x = 601.70 × 291.92
  4. Step 4: Simplify right side
    401.68x = 175,646.80
  5. Step 5: Solve for x
    x = 175,646.80/401.68
  6. Step 6: Final answer
    x = 437.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.