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Finding the Fourth Proportional to 233.20, 314.91 and 233.20

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Solution

The fourth proportional to 233.20, 314.91 and 233.20 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 314.91 = 233.20 : x
  2. Step 2: Convert to fraction form
    233.20/314.91 = 233.20/x
  3. Step 3: Cross multiply
    233.20x = 314.91 × 233.20
  4. Step 4: Simplify right side
    233.20x = 73,437.01
  5. Step 5: Solve for x
    x = 73,437.01/233.20
  6. Step 6: Final answer
    x = 314.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.