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Finding the Fourth Proportional to 382, 575.60 and 318.40

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Solution

The fourth proportional to 382, 575.60 and 318.40 is: 479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 575.60 = 318.40 : x
  2. Step 2: Convert to fraction form
    382/575.60 = 318.40/x
  3. Step 3: Cross multiply
    382x = 575.60 × 318.40
  4. Step 4: Simplify right side
    382x = 183,271.04
  5. Step 5: Solve for x
    x = 183,271.04/382
  6. Step 6: Final answer
    x = 479.77

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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.