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Finding the Fourth Proportional to 438.72, 654.48 and 380.16

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Solution

The fourth proportional to 438.72, 654.48 and 380.16 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 654.48 = 380.16 : x
  2. Step 2: Convert to fraction form
    438.72/654.48 = 380.16/x
  3. Step 3: Cross multiply
    438.72x = 654.48 × 380.16
  4. Step 4: Simplify right side
    438.72x = 248,807.12
  5. Step 5: Solve for x
    x = 248,807.12/438.72
  6. Step 6: Final answer
    x = 567.12

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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.