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Finding the Fourth Proportional to 412.30, 569.04 and 307.91

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Solution

The fourth proportional to 412.30, 569.04 and 307.91 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 569.04 = 307.91 : x
  2. Step 2: Convert to fraction form
    412.30/569.04 = 307.91/x
  3. Step 3: Cross multiply
    412.30x = 569.04 × 307.91
  4. Step 4: Simplify right side
    412.30x = 175,211.91
  5. Step 5: Solve for x
    x = 175,211.91/412.30
  6. Step 6: Final answer
    x = 424.97

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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.