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Finding the Fourth Proportional to 152.32, 210.15 and 97.05

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Solution

The fourth proportional to 152.32, 210.15 and 97.05 is: 133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 210.15 = 97.05 : x
  2. Step 2: Convert to fraction form
    152.32/210.15 = 97.05/x
  3. Step 3: Cross multiply
    152.32x = 210.15 × 97.05
  4. Step 4: Simplify right side
    152.32x = 20,395.85
  5. Step 5: Solve for x
    x = 20,395.85/152.32
  6. Step 6: Final answer
    x = 133.90

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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.