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Finding the Fourth Proportional to 313.42, 432.60 and 197.08

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Solution

The fourth proportional to 313.42, 432.60 and 197.08 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 432.60 = 197.08 : x
  2. Step 2: Convert to fraction form
    313.42/432.60 = 197.08/x
  3. Step 3: Cross multiply
    313.42x = 432.60 × 197.08
  4. Step 4: Simplify right side
    313.42x = 85,256.81
  5. Step 5: Solve for x
    x = 85,256.81/313.42
  6. Step 6: Final answer
    x = 272.02

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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.