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Finding the Fourth Proportional to 425.20, 585.88 and 307.04

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Solution

The fourth proportional to 425.20, 585.88 and 307.04 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.20 : 585.88 = 307.04 : x
  2. Step 2: Convert to fraction form
    425.20/585.88 = 307.04/x
  3. Step 3: Cross multiply
    425.20x = 585.88 × 307.04
  4. Step 4: Simplify right side
    425.20x = 179,888.60
  5. Step 5: Solve for x
    x = 179,888.60/425.20
  6. Step 6: Final answer
    x = 423.07

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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.