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Finding the Fourth Proportional to 529.06, 730.03 and 307.96

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Solution

The fourth proportional to 529.06, 730.03 and 307.96 is: 424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.06 : 730.03 = 307.96 : x
  2. Step 2: Convert to fraction form
    529.06/730.03 = 307.96/x
  3. Step 3: Cross multiply
    529.06x = 730.03 × 307.96
  4. Step 4: Simplify right side
    529.06x = 224,820.04
  5. Step 5: Solve for x
    x = 224,820.04/529.06
  6. Step 6: Final answer
    x = 424.94

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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.