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Finding the Fourth Proportional to 399.24, 551.46 and 307.12

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Solution

The fourth proportional to 399.24, 551.46 and 307.12 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 551.46 = 307.12 : x
  2. Step 2: Convert to fraction form
    399.24/551.46 = 307.12/x
  3. Step 3: Cross multiply
    399.24x = 551.46 × 307.12
  4. Step 4: Simplify right side
    399.24x = 169,364.40
  5. Step 5: Solve for x
    x = 169,364.40/399.24
  6. Step 6: Final answer
    x = 424.22

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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.