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Finding the Fourth Proportional to 152.04, 209.54 and 113.24

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Solution

The fourth proportional to 152.04, 209.54 and 113.24 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.04 : 209.54 = 113.24 : x
  2. Step 2: Convert to fraction form
    152.04/209.54 = 113.24/x
  3. Step 3: Cross multiply
    152.04x = 209.54 × 113.24
  4. Step 4: Simplify right side
    152.04x = 23,728.31
  5. Step 5: Solve for x
    x = 23,728.31/152.04
  6. Step 6: Final answer
    x = 156.07

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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.