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Finding the Fourth Proportional to 401.04, 549.82 and 390.16

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Solution

The fourth proportional to 401.04, 549.82 and 390.16 is: 534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 549.82 = 390.16 : x
  2. Step 2: Convert to fraction form
    401.04/549.82 = 390.16/x
  3. Step 3: Cross multiply
    401.04x = 549.82 × 390.16
  4. Step 4: Simplify right side
    401.04x = 214,517.77
  5. Step 5: Solve for x
    x = 214,517.77/401.04
  6. Step 6: Final answer
    x = 534.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.