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Finding the Fourth Proportional to 218.65, 302.54 and 187.52

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Solution

The fourth proportional to 218.65, 302.54 and 187.52 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.65 : 302.54 = 187.52 : x
  2. Step 2: Convert to fraction form
    218.65/302.54 = 187.52/x
  3. Step 3: Cross multiply
    218.65x = 302.54 × 187.52
  4. Step 4: Simplify right side
    218.65x = 56,729.85
  5. Step 5: Solve for x
    x = 56,729.85/218.65
  6. Step 6: Final answer
    x = 259.46

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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.