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Finding the Fourth Proportional to 314.10, 469.80 and 241.20

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Solution

The fourth proportional to 314.10, 469.80 and 241.20 is: 360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 469.80 = 241.20 : x
  2. Step 2: Convert to fraction form
    314.10/469.80 = 241.20/x
  3. Step 3: Cross multiply
    314.10x = 469.80 × 241.20
  4. Step 4: Simplify right side
    314.10x = 113,315.76
  5. Step 5: Solve for x
    x = 113,315.76/314.10
  6. Step 6: Final answer
    x = 360.76

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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.