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Finding the Fourth Proportional to 370.54, 557.95 and 306.16

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Solution

The fourth proportional to 370.54, 557.95 and 306.16 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 557.95 = 306.16 : x
  2. Step 2: Convert to fraction form
    370.54/557.95 = 306.16/x
  3. Step 3: Cross multiply
    370.54x = 557.95 × 306.16
  4. Step 4: Simplify right side
    370.54x = 170,821.97
  5. Step 5: Solve for x
    x = 170,821.97/370.54
  6. Step 6: Final answer
    x = 461.01

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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.