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Finding the Fourth Proportional to 360.48, 537.50 and 354

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Solution

The fourth proportional to 360.48, 537.50 and 354 is: 527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 537.50 = 354 : x
  2. Step 2: Convert to fraction form
    360.48/537.50 = 354/x
  3. Step 3: Cross multiply
    360.48x = 537.50 × 354
  4. Step 4: Simplify right side
    360.48x = 190,275
  5. Step 5: Solve for x
    x = 190,275/360.48
  6. Step 6: Final answer
    x = 527.84

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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.