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Finding the Fourth Proportional to 387.84, 585.12 and 367.56

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Solution

The fourth proportional to 387.84, 585.12 and 367.56 is: 554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 585.12 = 367.56 : x
  2. Step 2: Convert to fraction form
    387.84/585.12 = 367.56/x
  3. Step 3: Cross multiply
    387.84x = 585.12 × 367.56
  4. Step 4: Simplify right side
    387.84x = 215,066.71
  5. Step 5: Solve for x
    x = 215,066.71/387.84
  6. Step 6: Final answer
    x = 554.52

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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.