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Finding the Fourth Proportional to 388.95, 583.02 and 297.42

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Solution

The fourth proportional to 388.95, 583.02 and 297.42 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.95 : 583.02 = 297.42 : x
  2. Step 2: Convert to fraction form
    388.95/583.02 = 297.42/x
  3. Step 3: Cross multiply
    388.95x = 583.02 × 297.42
  4. Step 4: Simplify right side
    388.95x = 173,401.81
  5. Step 5: Solve for x
    x = 173,401.81/388.95
  6. Step 6: Final answer
    x = 445.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.