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Finding the Fourth Proportional to 412.84, 569.55 and 257.50

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Solution

The fourth proportional to 412.84, 569.55 and 257.50 is: 355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.55 = 257.50 : x
  2. Step 2: Convert to fraction form
    412.84/569.55 = 257.50/x
  3. Step 3: Cross multiply
    412.84x = 569.55 × 257.50
  4. Step 4: Simplify right side
    412.84x = 146,659.13
  5. Step 5: Solve for x
    x = 146,659.13/412.84
  6. Step 6: Final answer
    x = 355.24

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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.