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Finding the Fourth Proportional to 253.48, 349.62 and 158.98

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Solution

The fourth proportional to 253.48, 349.62 and 158.98 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 349.62 = 158.98 : x
  2. Step 2: Convert to fraction form
    253.48/349.62 = 158.98/x
  3. Step 3: Cross multiply
    253.48x = 349.62 × 158.98
  4. Step 4: Simplify right side
    253.48x = 55,581.32
  5. Step 5: Solve for x
    x = 55,581.32/253.48
  6. Step 6: Final answer
    x = 219.28

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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.