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Finding the Fourth Proportional to 315.78, 436.71 and 301.28

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Solution

The fourth proportional to 315.78, 436.71 and 301.28 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 436.71 = 301.28 : x
  2. Step 2: Convert to fraction form
    315.78/436.71 = 301.28/x
  3. Step 3: Cross multiply
    315.78x = 436.71 × 301.28
  4. Step 4: Simplify right side
    315.78x = 131,569.81
  5. Step 5: Solve for x
    x = 131,569.81/315.78
  6. Step 6: Final answer
    x = 416.65

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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.