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Finding the Fourth Proportional to 216.13, 322.95 and 147.08

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Solution

The fourth proportional to 216.13, 322.95 and 147.08 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.13 : 322.95 = 147.08 : x
  2. Step 2: Convert to fraction form
    216.13/322.95 = 147.08/x
  3. Step 3: Cross multiply
    216.13x = 322.95 × 147.08
  4. Step 4: Simplify right side
    216.13x = 47,499.49
  5. Step 5: Solve for x
    x = 47,499.49/216.13
  6. Step 6: Final answer
    x = 219.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.