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Finding the Fourth Proportional to 153.10, 229.66 and 74.99

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Solution

The fourth proportional to 153.10, 229.66 and 74.99 is: 112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 229.66 = 74.99 : x
  2. Step 2: Convert to fraction form
    153.10/229.66 = 74.99/x
  3. Step 3: Cross multiply
    153.10x = 229.66 × 74.99
  4. Step 4: Simplify right side
    153.10x = 17,222.20
  5. Step 5: Solve for x
    x = 17,222.20/153.10
  6. Step 6: Final answer
    x = 112.49

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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.