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Finding the Fourth Proportional to 365.90, 504.77 and 316.71

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Solution

The fourth proportional to 365.90, 504.77 and 316.71 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 504.77 = 316.71 : x
  2. Step 2: Convert to fraction form
    365.90/504.77 = 316.71/x
  3. Step 3: Cross multiply
    365.90x = 504.77 × 316.71
  4. Step 4: Simplify right side
    365.90x = 159,864.12
  5. Step 5: Solve for x
    x = 159,864.12/365.90
  6. Step 6: Final answer
    x = 436.91

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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.