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Finding the Fourth Proportional to 412.99, 570.13 and 265.70

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Solution

The fourth proportional to 412.99, 570.13 and 265.70 is: 366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.99 : 570.13 = 265.70 : x
  2. Step 2: Convert to fraction form
    412.99/570.13 = 265.70/x
  3. Step 3: Cross multiply
    412.99x = 570.13 × 265.70
  4. Step 4: Simplify right side
    412.99x = 151,484.30
  5. Step 5: Solve for x
    x = 151,484.30/412.99
  6. Step 6: Final answer
    x = 366.80

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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.