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Finding the Fourth Proportional to 314.74, 435.45 and 307.81

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Solution

The fourth proportional to 314.74, 435.45 and 307.81 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 435.45 = 307.81 : x
  2. Step 2: Convert to fraction form
    314.74/435.45 = 307.81/x
  3. Step 3: Cross multiply
    314.74x = 435.45 × 307.81
  4. Step 4: Simplify right side
    314.74x = 134,035.86
  5. Step 5: Solve for x
    x = 134,035.86/314.74
  6. Step 6: Final answer
    x = 425.86

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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.