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Finding the Fourth Proportional to 364.42, 546.32 and 148.15

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Solution

The fourth proportional to 364.42, 546.32 and 148.15 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 546.32 = 148.15 : x
  2. Step 2: Convert to fraction form
    364.42/546.32 = 148.15/x
  3. Step 3: Cross multiply
    364.42x = 546.32 × 148.15
  4. Step 4: Simplify right side
    364.42x = 80,936.31
  5. Step 5: Solve for x
    x = 80,936.31/364.42
  6. Step 6: Final answer
    x = 222.10

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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.