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Finding the Fourth Proportional to 14.40, 21.36 and 14.32

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Solution

The fourth proportional to 14.40, 21.36 and 14.32 is: 21.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.40 : 21.36 = 14.32 : x
  2. Step 2: Convert to fraction form
    14.40/21.36 = 14.32/x
  3. Step 3: Cross multiply
    14.40x = 21.36 × 14.32
  4. Step 4: Simplify right side
    14.40x = 305.88
  5. Step 5: Solve for x
    x = 305.88/14.40
  6. Step 6: Final answer
    x = 21.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.