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Finding the Fourth Proportional to 282.48, 421.50 and 250.08

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Solution

The fourth proportional to 282.48, 421.50 and 250.08 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 421.50 = 250.08 : x
  2. Step 2: Convert to fraction form
    282.48/421.50 = 250.08/x
  3. Step 3: Cross multiply
    282.48x = 421.50 × 250.08
  4. Step 4: Simplify right side
    282.48x = 105,408.72
  5. Step 5: Solve for x
    x = 105,408.72/282.48
  6. Step 6: Final answer
    x = 373.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.