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Finding the Fourth Proportional to 283.10, 392.65 and 277.70

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Solution

The fourth proportional to 283.10, 392.65 and 277.70 is: 385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 392.65 = 277.70 : x
  2. Step 2: Convert to fraction form
    283.10/392.65 = 277.70/x
  3. Step 3: Cross multiply
    283.10x = 392.65 × 277.70
  4. Step 4: Simplify right side
    283.10x = 109,037.52
  5. Step 5: Solve for x
    x = 109,037.52/283.10
  6. Step 6: Final answer
    x = 385.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.