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Finding the Fourth Proportional to 152.72, 210.85 and 106.08

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Solution

The fourth proportional to 152.72, 210.85 and 106.08 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 210.85 = 106.08 : x
  2. Step 2: Convert to fraction form
    152.72/210.85 = 106.08/x
  3. Step 3: Cross multiply
    152.72x = 210.85 × 106.08
  4. Step 4: Simplify right side
    152.72x = 22,366.97
  5. Step 5: Solve for x
    x = 22,366.97/152.72
  6. Step 6: Final answer
    x = 146.46

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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.