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Finding the Fourth Proportional to 253.49, 349.70 and 148.58

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Solution

The fourth proportional to 253.49, 349.70 and 148.58 is: 204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 349.70 = 148.58 : x
  2. Step 2: Convert to fraction form
    253.49/349.70 = 148.58/x
  3. Step 3: Cross multiply
    253.49x = 349.70 × 148.58
  4. Step 4: Simplify right side
    253.49x = 51,958.56
  5. Step 5: Solve for x
    x = 51,958.56/253.49
  6. Step 6: Final answer
    x = 204.98

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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.