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Finding the Fourth Proportional to 302.92, 457.07 and 291.68

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Solution

The fourth proportional to 302.92, 457.07 and 291.68 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.92 : 457.07 = 291.68 : x
  2. Step 2: Convert to fraction form
    302.92/457.07 = 291.68/x
  3. Step 3: Cross multiply
    302.92x = 457.07 × 291.68
  4. Step 4: Simplify right side
    302.92x = 133,318.18
  5. Step 5: Solve for x
    x = 133,318.18/302.92
  6. Step 6: Final answer
    x = 440.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.