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Finding the Fourth Proportional to 378.84, 564.68 and 368.58

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Solution

The fourth proportional to 378.84, 564.68 and 368.58 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 564.68 = 368.58 : x
  2. Step 2: Convert to fraction form
    378.84/564.68 = 368.58/x
  3. Step 3: Cross multiply
    378.84x = 564.68 × 368.58
  4. Step 4: Simplify right side
    378.84x = 208,129.75
  5. Step 5: Solve for x
    x = 208,129.75/378.84
  6. Step 6: Final answer
    x = 549.39

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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.