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Finding the Fourth Proportional to 414.65, 619.33 and 357.05

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Solution

The fourth proportional to 414.65, 619.33 and 357.05 is: 533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 619.33 = 357.05 : x
  2. Step 2: Convert to fraction form
    414.65/619.33 = 357.05/x
  3. Step 3: Cross multiply
    414.65x = 619.33 × 357.05
  4. Step 4: Simplify right side
    414.65x = 221,131.78
  5. Step 5: Solve for x
    x = 221,131.78/414.65
  6. Step 6: Final answer
    x = 533.30

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Double scale
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1.5x scale

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.