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Finding the Fourth Proportional to 307.69, 459.29 and 285.13

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Solution

The fourth proportional to 307.69, 459.29 and 285.13 is: 425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 459.29 = 285.13 : x
  2. Step 2: Convert to fraction form
    307.69/459.29 = 285.13/x
  3. Step 3: Cross multiply
    307.69x = 459.29 × 285.13
  4. Step 4: Simplify right side
    307.69x = 130,957.36
  5. Step 5: Solve for x
    x = 130,957.36/307.69
  6. Step 6: Final answer
    x = 425.61

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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.