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Finding the Fourth Proportional to 211.08, 316.64 and 101.45

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Solution

The fourth proportional to 211.08, 316.64 and 101.45 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.08 : 316.64 = 101.45 : x
  2. Step 2: Convert to fraction form
    211.08/316.64 = 101.45/x
  3. Step 3: Cross multiply
    211.08x = 316.64 × 101.45
  4. Step 4: Simplify right side
    211.08x = 32,121.04
  5. Step 5: Solve for x
    x = 32,121.04/211.08
  6. Step 6: Final answer
    x = 152.17

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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.