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Finding the Fourth Proportional to 378.24, 564.49 and 368.52

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Solution

The fourth proportional to 378.24, 564.49 and 368.52 is: 549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 564.49 = 368.52 : x
  2. Step 2: Convert to fraction form
    378.24/564.49 = 368.52/x
  3. Step 3: Cross multiply
    378.24x = 564.49 × 368.52
  4. Step 4: Simplify right side
    378.24x = 208,024.01
  5. Step 5: Solve for x
    x = 208,024.01/378.24
  6. Step 6: Final answer
    x = 549.98

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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.