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Finding the Fourth Proportional to 398.64, 549.60 and 288.14

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Solution

The fourth proportional to 398.64, 549.60 and 288.14 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.64 : 549.60 = 288.14 : x
  2. Step 2: Convert to fraction form
    398.64/549.60 = 288.14/x
  3. Step 3: Cross multiply
    398.64x = 549.60 × 288.14
  4. Step 4: Simplify right side
    398.64x = 158,361.74
  5. Step 5: Solve for x
    x = 158,361.74/398.64
  6. Step 6: Final answer
    x = 397.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.