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Finding the Fourth Proportional to 285.15, 424.78 and 271.93

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Solution

The fourth proportional to 285.15, 424.78 and 271.93 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 424.78 = 271.93 : x
  2. Step 2: Convert to fraction form
    285.15/424.78 = 271.93/x
  3. Step 3: Cross multiply
    285.15x = 424.78 × 271.93
  4. Step 4: Simplify right side
    285.15x = 115,510.10
  5. Step 5: Solve for x
    x = 115,510.10/285.15
  6. Step 6: Final answer
    x = 405.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.