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Finding the Fourth Proportional to 540.75, 811.40 and 248.25

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Solution

The fourth proportional to 540.75, 811.40 and 248.25 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 811.40 = 248.25 : x
  2. Step 2: Convert to fraction form
    540.75/811.40 = 248.25/x
  3. Step 3: Cross multiply
    540.75x = 811.40 × 248.25
  4. Step 4: Simplify right side
    540.75x = 201,428.81
  5. Step 5: Solve for x
    x = 201,428.81/540.75
  6. Step 6: Final answer
    x = 372.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.