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Finding the Fourth Proportional to 412.19, 614.18 and 390.02

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Solution

The fourth proportional to 412.19, 614.18 and 390.02 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 614.18 = 390.02 : x
  2. Step 2: Convert to fraction form
    412.19/614.18 = 390.02/x
  3. Step 3: Cross multiply
    412.19x = 614.18 × 390.02
  4. Step 4: Simplify right side
    412.19x = 239,540.39
  5. Step 5: Solve for x
    x = 239,540.39/412.19
  6. Step 6: Final answer
    x = 581.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.