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Finding the Fourth Proportional to 258.49, 387.64 and 135.10

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Solution

The fourth proportional to 258.49, 387.64 and 135.10 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.49 : 387.64 = 135.10 : x
  2. Step 2: Convert to fraction form
    258.49/387.64 = 135.10/x
  3. Step 3: Cross multiply
    258.49x = 387.64 × 135.10
  4. Step 4: Simplify right side
    258.49x = 52,370.16
  5. Step 5: Solve for x
    x = 52,370.16/258.49
  6. Step 6: Final answer
    x = 202.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.