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Finding the Fourth Proportional to 315.65, 433.57 and 260.26

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Solution

The fourth proportional to 315.65, 433.57 and 260.26 is: 357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 433.57 = 260.26 : x
  2. Step 2: Convert to fraction form
    315.65/433.57 = 260.26/x
  3. Step 3: Cross multiply
    315.65x = 433.57 × 260.26
  4. Step 4: Simplify right side
    315.65x = 112,841.02
  5. Step 5: Solve for x
    x = 112,841.02/315.65
  6. Step 6: Final answer
    x = 357.49

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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.