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Finding the Fourth Proportional to 365.48, 503.30 and 312.82

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Solution

The fourth proportional to 365.48, 503.30 and 312.82 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.48 : 503.30 = 312.82 : x
  2. Step 2: Convert to fraction form
    365.48/503.30 = 312.82/x
  3. Step 3: Cross multiply
    365.48x = 503.30 × 312.82
  4. Step 4: Simplify right side
    365.48x = 157,442.31
  5. Step 5: Solve for x
    x = 157,442.31/365.48
  6. Step 6: Final answer
    x = 430.78

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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.