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Finding the Fourth Proportional to 313.70, 468.61 and 307.62

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Solution

The fourth proportional to 313.70, 468.61 and 307.62 is: 459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 468.61 = 307.62 : x
  2. Step 2: Convert to fraction form
    313.70/468.61 = 307.62/x
  3. Step 3: Cross multiply
    313.70x = 468.61 × 307.62
  4. Step 4: Simplify right side
    313.70x = 144,153.04
  5. Step 5: Solve for x
    x = 144,153.04/313.70
  6. Step 6: Final answer
    x = 459.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.