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Finding the Fourth Proportional to 239.35, 330.40 and 152.02

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Solution

The fourth proportional to 239.35, 330.40 and 152.02 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.35 : 330.40 = 152.02 : x
  2. Step 2: Convert to fraction form
    239.35/330.40 = 152.02/x
  3. Step 3: Cross multiply
    239.35x = 330.40 × 152.02
  4. Step 4: Simplify right side
    239.35x = 50,226.77
  5. Step 5: Solve for x
    x = 50,226.77/239.35
  6. Step 6: Final answer
    x = 209.85

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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.