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Finding the Fourth Proportional to 386.46, 532.83 and 307.59

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Solution

The fourth proportional to 386.46, 532.83 and 307.59 is: 424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 532.83 = 307.59 : x
  2. Step 2: Convert to fraction form
    386.46/532.83 = 307.59/x
  3. Step 3: Cross multiply
    386.46x = 532.83 × 307.59
  4. Step 4: Simplify right side
    386.46x = 163,893.18
  5. Step 5: Solve for x
    x = 163,893.18/386.46
  6. Step 6: Final answer
    x = 424.09

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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.