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Finding the Fourth Proportional to 248.50, 342.95 and 145.02

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Solution

The fourth proportional to 248.50, 342.95 and 145.02 is: 200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 342.95 = 145.02 : x
  2. Step 2: Convert to fraction form
    248.50/342.95 = 145.02/x
  3. Step 3: Cross multiply
    248.50x = 342.95 × 145.02
  4. Step 4: Simplify right side
    248.50x = 49,734.61
  5. Step 5: Solve for x
    x = 49,734.61/248.50
  6. Step 6: Final answer
    x = 200.14

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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.