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Finding the Fourth Proportional to 315.90, 437.40 and 275.40

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Solution

The fourth proportional to 315.90, 437.40 and 275.40 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 437.40 = 275.40 : x
  2. Step 2: Convert to fraction form
    315.90/437.40 = 275.40/x
  3. Step 3: Cross multiply
    315.90x = 437.40 × 275.40
  4. Step 4: Simplify right side
    315.90x = 120,459.96
  5. Step 5: Solve for x
    x = 120,459.96/315.90
  6. Step 6: Final answer
    x = 381.32

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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.