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Finding the Fourth Proportional to 315.42, 434.78 and 253.14

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Solution

The fourth proportional to 315.42, 434.78 and 253.14 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 434.78 = 253.14 : x
  2. Step 2: Convert to fraction form
    315.42/434.78 = 253.14/x
  3. Step 3: Cross multiply
    315.42x = 434.78 × 253.14
  4. Step 4: Simplify right side
    315.42x = 110,060.21
  5. Step 5: Solve for x
    x = 110,060.21/315.42
  6. Step 6: Final answer
    x = 348.93

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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.