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Finding the Fourth Proportional to 404.39, 557.67 and 264.45

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Solution

The fourth proportional to 404.39, 557.67 and 264.45 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.39 : 557.67 = 264.45 : x
  2. Step 2: Convert to fraction form
    404.39/557.67 = 264.45/x
  3. Step 3: Cross multiply
    404.39x = 557.67 × 264.45
  4. Step 4: Simplify right side
    404.39x = 147,475.83
  5. Step 5: Solve for x
    x = 147,475.83/404.39
  6. Step 6: Final answer
    x = 364.69

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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.