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Finding the Fourth Proportional to 387.98, 581.92 and 114.06

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Solution

The fourth proportional to 387.98, 581.92 and 114.06 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.98 : 581.92 = 114.06 : x
  2. Step 2: Convert to fraction form
    387.98/581.92 = 114.06/x
  3. Step 3: Cross multiply
    387.98x = 581.92 × 114.06
  4. Step 4: Simplify right side
    387.98x = 66,373.51
  5. Step 5: Solve for x
    x = 66,373.51/387.98
  6. Step 6: Final answer
    x = 171.08

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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.