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Finding the Fourth Proportional to 314.76, 434.56 and 202.77

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Solution

The fourth proportional to 314.76, 434.56 and 202.77 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.56 = 202.77 : x
  2. Step 2: Convert to fraction form
    314.76/434.56 = 202.77/x
  3. Step 3: Cross multiply
    314.76x = 434.56 × 202.77
  4. Step 4: Simplify right side
    314.76x = 88,116.31
  5. Step 5: Solve for x
    x = 88,116.31/314.76
  6. Step 6: Final answer
    x = 279.95

Related Problems

Find fourth proportional to 157.38, 217.28 and 101.39
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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.