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Finding the Fourth Proportional to 424.82, 586.16 and 277.67

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Solution

The fourth proportional to 424.82, 586.16 and 277.67 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.82 : 586.16 = 277.67 : x
  2. Step 2: Convert to fraction form
    424.82/586.16 = 277.67/x
  3. Step 3: Cross multiply
    424.82x = 586.16 × 277.67
  4. Step 4: Simplify right side
    424.82x = 162,759.05
  5. Step 5: Solve for x
    x = 162,759.05/424.82
  6. Step 6: Final answer
    x = 383.12

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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.