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Finding the Fourth Proportional to 401.53, 602.20 and 184.90

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Solution

The fourth proportional to 401.53, 602.20 and 184.90 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 602.20 = 184.90 : x
  2. Step 2: Convert to fraction form
    401.53/602.20 = 184.90/x
  3. Step 3: Cross multiply
    401.53x = 602.20 × 184.90
  4. Step 4: Simplify right side
    401.53x = 111,342.84
  5. Step 5: Solve for x
    x = 111,342.84/401.53
  6. Step 6: Final answer
    x = 277.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.