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Finding the Fourth Proportional to 457.51, 631.19 and 280.52

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Solution

The fourth proportional to 457.51, 631.19 and 280.52 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.51 : 631.19 = 280.52 : x
  2. Step 2: Convert to fraction form
    457.51/631.19 = 280.52/x
  3. Step 3: Cross multiply
    457.51x = 631.19 × 280.52
  4. Step 4: Simplify right side
    457.51x = 177,060.02
  5. Step 5: Solve for x
    x = 177,060.02/457.51
  6. Step 6: Final answer
    x = 387.01

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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.