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Finding the Fourth Proportional to 412.65, 616.34 and 355.05

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Solution

The fourth proportional to 412.65, 616.34 and 355.05 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 616.34 = 355.05 : x
  2. Step 2: Convert to fraction form
    412.65/616.34 = 355.05/x
  3. Step 3: Cross multiply
    412.65x = 616.34 × 355.05
  4. Step 4: Simplify right side
    412.65x = 218,832.40
  5. Step 5: Solve for x
    x = 218,832.40/412.65
  6. Step 6: Final answer
    x = 530.31

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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.