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Finding the Fourth Proportional to 152.13, 229.33 and 145.95

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Solution

The fourth proportional to 152.13, 229.33 and 145.95 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 229.33 = 145.95 : x
  2. Step 2: Convert to fraction form
    152.13/229.33 = 145.95/x
  3. Step 3: Cross multiply
    152.13x = 229.33 × 145.95
  4. Step 4: Simplify right side
    152.13x = 33,471.33
  5. Step 5: Solve for x
    x = 33,471.33/152.13
  6. Step 6: Final answer
    x = 220.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.