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Finding the Fourth Proportional to 368.12, 507.50 and 280.76

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Solution

The fourth proportional to 368.12, 507.50 and 280.76 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.12 : 507.50 = 280.76 : x
  2. Step 2: Convert to fraction form
    368.12/507.50 = 280.76/x
  3. Step 3: Cross multiply
    368.12x = 507.50 × 280.76
  4. Step 4: Simplify right side
    368.12x = 142,485.70
  5. Step 5: Solve for x
    x = 142,485.70/368.12
  6. Step 6: Final answer
    x = 387.06

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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.