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Finding the Fourth Proportional to 421.04, 631.40 and 189.84

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Solution

The fourth proportional to 421.04, 631.40 and 189.84 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.04 : 631.40 = 189.84 : x
  2. Step 2: Convert to fraction form
    421.04/631.40 = 189.84/x
  3. Step 3: Cross multiply
    421.04x = 631.40 × 189.84
  4. Step 4: Simplify right side
    421.04x = 119,864.98
  5. Step 5: Solve for x
    x = 119,864.98/421.04
  6. Step 6: Final answer
    x = 284.69

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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.