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Finding the Fourth Proportional to 315.15, 429.08 and 314.18

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Solution

The fourth proportional to 315.15, 429.08 and 314.18 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 429.08 = 314.18 : x
  2. Step 2: Convert to fraction form
    315.15/429.08 = 314.18/x
  3. Step 3: Cross multiply
    315.15x = 429.08 × 314.18
  4. Step 4: Simplify right side
    315.15x = 134,804.64
  5. Step 5: Solve for x
    x = 134,804.64/315.15
  6. Step 6: Final answer
    x = 427.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.