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Finding the Fourth Proportional to 319.13, 477.70 and 203.17

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Solution

The fourth proportional to 319.13, 477.70 and 203.17 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 477.70 = 203.17 : x
  2. Step 2: Convert to fraction form
    319.13/477.70 = 203.17/x
  3. Step 3: Cross multiply
    319.13x = 477.70 × 203.17
  4. Step 4: Simplify right side
    319.13x = 97,054.31
  5. Step 5: Solve for x
    x = 97,054.31/319.13
  6. Step 6: Final answer
    x = 304.12

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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.