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Finding the Fourth Proportional to 315.78, 432.62 and 304.10

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Solution

The fourth proportional to 315.78, 432.62 and 304.10 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 432.62 = 304.10 : x
  2. Step 2: Convert to fraction form
    315.78/432.62 = 304.10/x
  3. Step 3: Cross multiply
    315.78x = 432.62 × 304.10
  4. Step 4: Simplify right side
    315.78x = 131,559.74
  5. Step 5: Solve for x
    x = 131,559.74/315.78
  6. Step 6: Final answer
    x = 416.62

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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.