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Finding the Fourth Proportional to 457.56, 631.36 and 258.40

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Solution

The fourth proportional to 457.56, 631.36 and 258.40 is: 356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 631.36 = 258.40 : x
  2. Step 2: Convert to fraction form
    457.56/631.36 = 258.40/x
  3. Step 3: Cross multiply
    457.56x = 631.36 × 258.40
  4. Step 4: Simplify right side
    457.56x = 163,143.42
  5. Step 5: Solve for x
    x = 163,143.42/457.56
  6. Step 6: Final answer
    x = 356.55

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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.