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Finding the Fourth Proportional to 357.56, 489.18 and 356.02

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Solution

The fourth proportional to 357.56, 489.18 and 356.02 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.56 : 489.18 = 356.02 : x
  2. Step 2: Convert to fraction form
    357.56/489.18 = 356.02/x
  3. Step 3: Cross multiply
    357.56x = 489.18 × 356.02
  4. Step 4: Simplify right side
    357.56x = 174,155.42
  5. Step 5: Solve for x
    x = 174,155.42/357.56
  6. Step 6: Final answer
    x = 487.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.