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Finding the Fourth Proportional to 316.66, 474.99 and 100.25

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Solution

The fourth proportional to 316.66, 474.99 and 100.25 is: 150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 474.99 = 100.25 : x
  2. Step 2: Convert to fraction form
    316.66/474.99 = 100.25/x
  3. Step 3: Cross multiply
    316.66x = 474.99 × 100.25
  4. Step 4: Simplify right side
    316.66x = 47,617.25
  5. Step 5: Solve for x
    x = 47,617.25/316.66
  6. Step 6: Final answer
    x = 150.38

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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.