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Finding the Fourth Proportional to 458.94, 688.40 and 150.78

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Solution

The fourth proportional to 458.94, 688.40 and 150.78 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 688.40 = 150.78 : x
  2. Step 2: Convert to fraction form
    458.94/688.40 = 150.78/x
  3. Step 3: Cross multiply
    458.94x = 688.40 × 150.78
  4. Step 4: Simplify right side
    458.94x = 103,796.95
  5. Step 5: Solve for x
    x = 103,796.95/458.94
  6. Step 6: Final answer
    x = 226.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.