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Finding the Fourth Proportional to 345.32, 476.46 and 235.16

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Solution

The fourth proportional to 345.32, 476.46 and 235.16 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.32 : 476.46 = 235.16 : x
  2. Step 2: Convert to fraction form
    345.32/476.46 = 235.16/x
  3. Step 3: Cross multiply
    345.32x = 476.46 × 235.16
  4. Step 4: Simplify right side
    345.32x = 112,044.33
  5. Step 5: Solve for x
    x = 112,044.33/345.32
  6. Step 6: Final answer
    x = 324.47

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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.