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Finding the Fourth Proportional to 315.45, 435.16 and 256.51

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Solution

The fourth proportional to 315.45, 435.16 and 256.51 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.45 : 435.16 = 256.51 : x
  2. Step 2: Convert to fraction form
    315.45/435.16 = 256.51/x
  3. Step 3: Cross multiply
    315.45x = 435.16 × 256.51
  4. Step 4: Simplify right side
    315.45x = 111,622.89
  5. Step 5: Solve for x
    x = 111,622.89/315.45
  6. Step 6: Final answer
    x = 353.85

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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.