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Finding the Fourth Proportional to 152.37, 209.84 and 130.50

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Solution

The fourth proportional to 152.37, 209.84 and 130.50 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 209.84 = 130.50 : x
  2. Step 2: Convert to fraction form
    152.37/209.84 = 130.50/x
  3. Step 3: Cross multiply
    152.37x = 209.84 × 130.50
  4. Step 4: Simplify right side
    152.37x = 27,383.47
  5. Step 5: Solve for x
    x = 27,383.47/152.37
  6. Step 6: Final answer
    x = 179.72

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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.