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Finding the Fourth Proportional to 388.96, 586.49 and 356.67

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Solution

The fourth proportional to 388.96, 586.49 and 356.67 is: 537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.96 : 586.49 = 356.67 : x
  2. Step 2: Convert to fraction form
    388.96/586.49 = 356.67/x
  3. Step 3: Cross multiply
    388.96x = 586.49 × 356.67
  4. Step 4: Simplify right side
    388.96x = 209,181.60
  5. Step 5: Solve for x
    x = 209,181.60/388.96
  6. Step 6: Final answer
    x = 537.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.