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Finding the Fourth Proportional to 415.68, 570.61 and 357.36

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Solution

The fourth proportional to 415.68, 570.61 and 357.36 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 570.61 = 357.36 : x
  2. Step 2: Convert to fraction form
    415.68/570.61 = 357.36/x
  3. Step 3: Cross multiply
    415.68x = 570.61 × 357.36
  4. Step 4: Simplify right side
    415.68x = 203,913.19
  5. Step 5: Solve for x
    x = 203,913.19/415.68
  6. Step 6: Final answer
    x = 490.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.