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Finding the Fourth Proportional to 410.16, 614.32 and 236.42

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Solution

The fourth proportional to 410.16, 614.32 and 236.42 is: 354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 614.32 = 236.42 : x
  2. Step 2: Convert to fraction form
    410.16/614.32 = 236.42/x
  3. Step 3: Cross multiply
    410.16x = 614.32 × 236.42
  4. Step 4: Simplify right side
    410.16x = 145,237.51
  5. Step 5: Solve for x
    x = 145,237.51/410.16
  6. Step 6: Final answer
    x = 354.10

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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.