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Finding the Fourth Proportional to 354.04, 487.74 and 248.74

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Solution

The fourth proportional to 354.04, 487.74 and 248.74 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.04 : 487.74 = 248.74 : x
  2. Step 2: Convert to fraction form
    354.04/487.74 = 248.74/x
  3. Step 3: Cross multiply
    354.04x = 487.74 × 248.74
  4. Step 4: Simplify right side
    354.04x = 121,320.45
  5. Step 5: Solve for x
    x = 121,320.45/354.04
  6. Step 6: Final answer
    x = 342.67

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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.