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Finding the Fourth Proportional to 395.17, 592.36 and 148.30

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Solution

The fourth proportional to 395.17, 592.36 and 148.30 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.17 : 592.36 = 148.30 : x
  2. Step 2: Convert to fraction form
    395.17/592.36 = 148.30/x
  3. Step 3: Cross multiply
    395.17x = 592.36 × 148.30
  4. Step 4: Simplify right side
    395.17x = 87,845.14
  5. Step 5: Solve for x
    x = 87,845.14/395.17
  6. Step 6: Final answer
    x = 222.30

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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.