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Finding the Fourth Proportional to 283.17, 390.77 and 157.13

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Solution

The fourth proportional to 283.17, 390.77 and 157.13 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.17 : 390.77 = 157.13 : x
  2. Step 2: Convert to fraction form
    283.17/390.77 = 157.13/x
  3. Step 3: Cross multiply
    283.17x = 390.77 × 157.13
  4. Step 4: Simplify right side
    283.17x = 61,400.42
  5. Step 5: Solve for x
    x = 61,400.42/283.17
  6. Step 6: Final answer
    x = 216.83

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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.