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Finding the Fourth Proportional to 306.32, 420.71 and 283.77

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Solution

The fourth proportional to 306.32, 420.71 and 283.77 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 420.71 = 283.77 : x
  2. Step 2: Convert to fraction form
    306.32/420.71 = 283.77/x
  3. Step 3: Cross multiply
    306.32x = 420.71 × 283.77
  4. Step 4: Simplify right side
    306.32x = 119,383.46
  5. Step 5: Solve for x
    x = 119,383.46/306.32
  6. Step 6: Final answer
    x = 389.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.