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Finding the Fourth Proportional to 364.65, 546.42 and 307.23

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Solution

The fourth proportional to 364.65, 546.42 and 307.23 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 546.42 = 307.23 : x
  2. Step 2: Convert to fraction form
    364.65/546.42 = 307.23/x
  3. Step 3: Cross multiply
    364.65x = 546.42 × 307.23
  4. Step 4: Simplify right side
    364.65x = 167,876.62
  5. Step 5: Solve for x
    x = 167,876.62/364.65
  6. Step 6: Final answer
    x = 460.38

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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.