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Finding the Fourth Proportional to 402, 599.05 and 388.95

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Solution

The fourth proportional to 402, 599.05 and 388.95 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 599.05 = 388.95 : x
  2. Step 2: Convert to fraction form
    402/599.05 = 388.95/x
  3. Step 3: Cross multiply
    402x = 599.05 × 388.95
  4. Step 4: Simplify right side
    402x = 233,000.50
  5. Step 5: Solve for x
    x = 233,000.50/402
  6. Step 6: Final answer
    x = 579.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.