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Finding the Fourth Proportional to 14.40, 19.85 and 9.55

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Solution

The fourth proportional to 14.40, 19.85 and 9.55 is: 13.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.40 : 19.85 = 9.55 : x
  2. Step 2: Convert to fraction form
    14.40/19.85 = 9.55/x
  3. Step 3: Cross multiply
    14.40x = 19.85 × 9.55
  4. Step 4: Simplify right side
    14.40x = 189.57
  5. Step 5: Solve for x
    x = 189.57/14.40
  6. Step 6: Final answer
    x = 13.16

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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.