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Finding the Fourth Proportional to 307.70, 459.18 and 253.70

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Solution

The fourth proportional to 307.70, 459.18 and 253.70 is: 378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 459.18 = 253.70 : x
  2. Step 2: Convert to fraction form
    307.70/459.18 = 253.70/x
  3. Step 3: Cross multiply
    307.70x = 459.18 × 253.70
  4. Step 4: Simplify right side
    307.70x = 116,493.97
  5. Step 5: Solve for x
    x = 116,493.97/307.70
  6. Step 6: Final answer
    x = 378.60

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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.