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Finding the Fourth Proportional to 407.02, 611.14 and 233.88

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Solution

The fourth proportional to 407.02, 611.14 and 233.88 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.02 : 611.14 = 233.88 : x
  2. Step 2: Convert to fraction form
    407.02/611.14 = 233.88/x
  3. Step 3: Cross multiply
    407.02x = 611.14 × 233.88
  4. Step 4: Simplify right side
    407.02x = 142,933.42
  5. Step 5: Solve for x
    x = 142,933.42/407.02
  6. Step 6: Final answer
    x = 351.17

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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.