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Finding the Fourth Proportional to 406.83, 561.62 and 307.28

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Solution

The fourth proportional to 406.83, 561.62 and 307.28 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 561.62 = 307.28 : x
  2. Step 2: Convert to fraction form
    406.83/561.62 = 307.28/x
  3. Step 3: Cross multiply
    406.83x = 561.62 × 307.28
  4. Step 4: Simplify right side
    406.83x = 172,576.77
  5. Step 5: Solve for x
    x = 172,576.77/406.83
  6. Step 6: Final answer
    x = 424.20

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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.