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Finding the Fourth Proportional to 147.08, 202.71 and 130.68

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Solution

The fourth proportional to 147.08, 202.71 and 130.68 is: 180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 202.71 = 130.68 : x
  2. Step 2: Convert to fraction form
    147.08/202.71 = 130.68/x
  3. Step 3: Cross multiply
    147.08x = 202.71 × 130.68
  4. Step 4: Simplify right side
    147.08x = 26,490.14
  5. Step 5: Solve for x
    x = 26,490.14/147.08
  6. Step 6: Final answer
    x = 180.11

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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.