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Finding the Fourth Proportional to 307.68, 423.84 and 281.76

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Solution

The fourth proportional to 307.68, 423.84 and 281.76 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 423.84 = 281.76 : x
  2. Step 2: Convert to fraction form
    307.68/423.84 = 281.76/x
  3. Step 3: Cross multiply
    307.68x = 423.84 × 281.76
  4. Step 4: Simplify right side
    307.68x = 119,421.16
  5. Step 5: Solve for x
    x = 119,421.16/307.68
  6. Step 6: Final answer
    x = 388.13

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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.