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Finding the Fourth Proportional to 218.40, 301.18 and 139.58

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Solution

The fourth proportional to 218.40, 301.18 and 139.58 is: 192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 301.18 = 139.58 : x
  2. Step 2: Convert to fraction form
    218.40/301.18 = 139.58/x
  3. Step 3: Cross multiply
    218.40x = 301.18 × 139.58
  4. Step 4: Simplify right side
    218.40x = 42,036.50
  5. Step 5: Solve for x
    x = 42,036.50/218.40
  6. Step 6: Final answer
    x = 192.47

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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.