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Finding the Fourth Proportional to 458.79, 633.14 and 259.66

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Solution

The fourth proportional to 458.79, 633.14 and 259.66 is: 358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.79 : 633.14 = 259.66 : x
  2. Step 2: Convert to fraction form
    458.79/633.14 = 259.66/x
  3. Step 3: Cross multiply
    458.79x = 633.14 × 259.66
  4. Step 4: Simplify right side
    458.79x = 164,401.13
  5. Step 5: Solve for x
    x = 164,401.13/458.79
  6. Step 6: Final answer
    x = 358.34

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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.