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Finding the Fourth Proportional to 388.98, 586.40 and 362.54

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Solution

The fourth proportional to 388.98, 586.40 and 362.54 is: 546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.98 : 586.40 = 362.54 : x
  2. Step 2: Convert to fraction form
    388.98/586.40 = 362.54/x
  3. Step 3: Cross multiply
    388.98x = 586.40 × 362.54
  4. Step 4: Simplify right side
    388.98x = 212,593.11
  5. Step 5: Solve for x
    x = 212,593.11/388.98
  6. Step 6: Final answer
    x = 546.54

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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.