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Finding the Fourth Proportional to 302.54, 455.40 and 237.92

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Solution

The fourth proportional to 302.54, 455.40 and 237.92 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 455.40 = 237.92 : x
  2. Step 2: Convert to fraction form
    302.54/455.40 = 237.92/x
  3. Step 3: Cross multiply
    302.54x = 455.40 × 237.92
  4. Step 4: Simplify right side
    302.54x = 108,346.49
  5. Step 5: Solve for x
    x = 108,346.49/302.54
  6. Step 6: Final answer
    x = 358.13

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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.