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Finding the Fourth Proportional to 357.90, 493.20 and 298.77

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Solution

The fourth proportional to 357.90, 493.20 and 298.77 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.90 : 493.20 = 298.77 : x
  2. Step 2: Convert to fraction form
    357.90/493.20 = 298.77/x
  3. Step 3: Cross multiply
    357.90x = 493.20 × 298.77
  4. Step 4: Simplify right side
    357.90x = 147,353.36
  5. Step 5: Solve for x
    x = 147,353.36/357.90
  6. Step 6: Final answer
    x = 411.72

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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.