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Finding the Fourth Proportional to 319.32, 438.93 and 260.19

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Solution

The fourth proportional to 319.32, 438.93 and 260.19 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 438.93 = 260.19 : x
  2. Step 2: Convert to fraction form
    319.32/438.93 = 260.19/x
  3. Step 3: Cross multiply
    319.32x = 438.93 × 260.19
  4. Step 4: Simplify right side
    319.32x = 114,205.20
  5. Step 5: Solve for x
    x = 114,205.20/319.32
  6. Step 6: Final answer
    x = 357.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.