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Finding the Fourth Proportional to 390.16, 585.18 and 130.16

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Solution

The fourth proportional to 390.16, 585.18 and 130.16 is: 195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 585.18 = 130.16 : x
  2. Step 2: Convert to fraction form
    390.16/585.18 = 130.16/x
  3. Step 3: Cross multiply
    390.16x = 585.18 × 130.16
  4. Step 4: Simplify right side
    390.16x = 76,168.00
  5. Step 5: Solve for x
    x = 76,168.00/390.16
  6. Step 6: Final answer
    x = 195.22

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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.