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Finding the Fourth Proportional to 458.69, 632.96 and 259.52

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Solution

The fourth proportional to 458.69, 632.96 and 259.52 is: 358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 632.96 = 259.52 : x
  2. Step 2: Convert to fraction form
    458.69/632.96 = 259.52/x
  3. Step 3: Cross multiply
    458.69x = 632.96 × 259.52
  4. Step 4: Simplify right side
    458.69x = 164,261.32
  5. Step 5: Solve for x
    x = 164,261.32/458.69
  6. Step 6: Final answer
    x = 358.11

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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.