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Finding the Fourth Proportional to 314.93, 434.65 and 197.03

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Solution

The fourth proportional to 314.93, 434.65 and 197.03 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 434.65 = 197.03 : x
  2. Step 2: Convert to fraction form
    314.93/434.65 = 197.03/x
  3. Step 3: Cross multiply
    314.93x = 434.65 × 197.03
  4. Step 4: Simplify right side
    314.93x = 85,637.16
  5. Step 5: Solve for x
    x = 85,637.16/314.93
  6. Step 6: Final answer
    x = 271.92

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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.