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Finding the Fourth Proportional to 233.40, 350.14 and 87.16

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Solution

The fourth proportional to 233.40, 350.14 and 87.16 is: 130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 350.14 = 87.16 : x
  2. Step 2: Convert to fraction form
    233.40/350.14 = 87.16/x
  3. Step 3: Cross multiply
    233.40x = 350.14 × 87.16
  4. Step 4: Simplify right side
    233.40x = 30,518.20
  5. Step 5: Solve for x
    x = 30,518.20/233.40
  6. Step 6: Final answer
    x = 130.75

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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.