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Finding the Fourth Proportional to 315.10, 434.46 and 278.20

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Solution

The fourth proportional to 315.10, 434.46 and 278.20 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 434.46 = 278.20 : x
  2. Step 2: Convert to fraction form
    315.10/434.46 = 278.20/x
  3. Step 3: Cross multiply
    315.10x = 434.46 × 278.20
  4. Step 4: Simplify right side
    315.10x = 120,866.77
  5. Step 5: Solve for x
    x = 120,866.77/315.10
  6. Step 6: Final answer
    x = 383.58

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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.