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Finding the Fourth Proportional to 313.68, 432.93 and 283.83

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Solution

The fourth proportional to 313.68, 432.93 and 283.83 is: 391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 432.93 = 283.83 : x
  2. Step 2: Convert to fraction form
    313.68/432.93 = 283.83/x
  3. Step 3: Cross multiply
    313.68x = 432.93 × 283.83
  4. Step 4: Simplify right side
    313.68x = 122,878.52
  5. Step 5: Solve for x
    x = 122,878.52/313.68
  6. Step 6: Final answer
    x = 391.73

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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.