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Finding the Fourth Proportional to 407.19, 561.89 and 230.15

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Solution

The fourth proportional to 407.19, 561.89 and 230.15 is: 317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.89 = 230.15 : x
  2. Step 2: Convert to fraction form
    407.19/561.89 = 230.15/x
  3. Step 3: Cross multiply
    407.19x = 561.89 × 230.15
  4. Step 4: Simplify right side
    407.19x = 129,315.02
  5. Step 5: Solve for x
    x = 129,315.02/407.19
  6. Step 6: Final answer
    x = 317.58

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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.