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Finding the Fourth Proportional to 314.69, 472.64 and 307.40

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Solution

The fourth proportional to 314.69, 472.64 and 307.40 is: 461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 472.64 = 307.40 : x
  2. Step 2: Convert to fraction form
    314.69/472.64 = 307.40/x
  3. Step 3: Cross multiply
    314.69x = 472.64 × 307.40
  4. Step 4: Simplify right side
    314.69x = 145,285.64
  5. Step 5: Solve for x
    x = 145,285.64/314.69
  6. Step 6: Final answer
    x = 461.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.