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Finding the Fourth Proportional to 370.01, 510.28 and 257.79

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Solution

The fourth proportional to 370.01, 510.28 and 257.79 is: 355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.01 : 510.28 = 257.79 : x
  2. Step 2: Convert to fraction form
    370.01/510.28 = 257.79/x
  3. Step 3: Cross multiply
    370.01x = 510.28 × 257.79
  4. Step 4: Simplify right side
    370.01x = 131,542.52
  5. Step 5: Solve for x
    x = 131,542.52/370.01
  6. Step 6: Final answer
    x = 355.52

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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.