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Finding the Fourth Proportional to 384, 578.88 and 378.24

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Solution

The fourth proportional to 384, 578.88 and 378.24 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 578.88 = 378.24 : x
  2. Step 2: Convert to fraction form
    384/578.88 = 378.24/x
  3. Step 3: Cross multiply
    384x = 578.88 × 378.24
  4. Step 4: Simplify right side
    384x = 218,955.57
  5. Step 5: Solve for x
    x = 218,955.57/384
  6. Step 6: Final answer
    x = 570.20

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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.