Home / 740.11-1,110.46-278.02

Finding the Fourth Proportional to 740.11, 1,110.46 and 278.02

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Solution

The fourth proportional to 740.11, 1,110.46 and 278.02 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.11 : 1,110.46 = 278.02 : x
  2. Step 2: Convert to fraction form
    740.11/1,110.46 = 278.02/x
  3. Step 3: Cross multiply
    740.11x = 1,110.46 × 278.02
  4. Step 4: Simplify right side
    740.11x = 308,730.09
  5. Step 5: Solve for x
    x = 308,730.09/740.11
  6. Step 6: Final answer
    x = 417.14

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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.