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Finding the Fourth Proportional to 211.34, 316.78 and 89.71

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Solution

The fourth proportional to 211.34, 316.78 and 89.71 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.34 : 316.78 = 89.71 : x
  2. Step 2: Convert to fraction form
    211.34/316.78 = 89.71/x
  3. Step 3: Cross multiply
    211.34x = 316.78 × 89.71
  4. Step 4: Simplify right side
    211.34x = 28,417.32
  5. Step 5: Solve for x
    x = 28,417.32/211.34
  6. Step 6: Final answer
    x = 134.46

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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.