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Finding the Fourth Proportional to 530.96, 732.84 and 309.92

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Solution

The fourth proportional to 530.96, 732.84 and 309.92 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 732.84 = 309.92 : x
  2. Step 2: Convert to fraction form
    530.96/732.84 = 309.92/x
  3. Step 3: Cross multiply
    530.96x = 732.84 × 309.92
  4. Step 4: Simplify right side
    530.96x = 227,121.77
  5. Step 5: Solve for x
    x = 227,121.77/530.96
  6. Step 6: Final answer
    x = 427.76

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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.