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Finding the Fourth Proportional to 364.78, 546.98 and 148.20

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Solution

The fourth proportional to 364.78, 546.98 and 148.20 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 546.98 = 148.20 : x
  2. Step 2: Convert to fraction form
    364.78/546.98 = 148.20/x
  3. Step 3: Cross multiply
    364.78x = 546.98 × 148.20
  4. Step 4: Simplify right side
    364.78x = 81,062.44
  5. Step 5: Solve for x
    x = 81,062.44/364.78
  6. Step 6: Final answer
    x = 222.22

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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.