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Finding the Fourth Proportional to 370.34, 511.32 and 286.16

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Solution

The fourth proportional to 370.34, 511.32 and 286.16 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.34 : 511.32 = 286.16 : x
  2. Step 2: Convert to fraction form
    370.34/511.32 = 286.16/x
  3. Step 3: Cross multiply
    370.34x = 511.32 × 286.16
  4. Step 4: Simplify right side
    370.34x = 146,319.33
  5. Step 5: Solve for x
    x = 146,319.33/370.34
  6. Step 6: Final answer
    x = 395.09

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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.