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Finding the Fourth Proportional to 410.23, 614.73 and 307.02

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Solution

The fourth proportional to 410.23, 614.73 and 307.02 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 614.73 = 307.02 : x
  2. Step 2: Convert to fraction form
    410.23/614.73 = 307.02/x
  3. Step 3: Cross multiply
    410.23x = 614.73 × 307.02
  4. Step 4: Simplify right side
    410.23x = 188,734.40
  5. Step 5: Solve for x
    x = 188,734.40/410.23
  6. Step 6: Final answer
    x = 460.07

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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.