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Finding the Fourth Proportional to 314.38, 432.80 and 283.06

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Solution

The fourth proportional to 314.38, 432.80 and 283.06 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 432.80 = 283.06 : x
  2. Step 2: Convert to fraction form
    314.38/432.80 = 283.06/x
  3. Step 3: Cross multiply
    314.38x = 432.80 × 283.06
  4. Step 4: Simplify right side
    314.38x = 122,508.37
  5. Step 5: Solve for x
    x = 122,508.37/314.38
  6. Step 6: Final answer
    x = 389.68

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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.