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Finding the Fourth Proportional to 443.01, 611.40 and 312.06

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Solution

The fourth proportional to 443.01, 611.40 and 312.06 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.01 : 611.40 = 312.06 : x
  2. Step 2: Convert to fraction form
    443.01/611.40 = 312.06/x
  3. Step 3: Cross multiply
    443.01x = 611.40 × 312.06
  4. Step 4: Simplify right side
    443.01x = 190,793.48
  5. Step 5: Solve for x
    x = 190,793.48/443.01
  6. Step 6: Final answer
    x = 430.68

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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.