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Finding the Fourth Proportional to 306.77, 460.14 and 152.66

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Solution

The fourth proportional to 306.77, 460.14 and 152.66 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 460.14 = 152.66 : x
  2. Step 2: Convert to fraction form
    306.77/460.14 = 152.66/x
  3. Step 3: Cross multiply
    306.77x = 460.14 × 152.66
  4. Step 4: Simplify right side
    306.77x = 70,245.33
  5. Step 5: Solve for x
    x = 70,245.33/306.77
  6. Step 6: Final answer
    x = 228.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.