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Finding the Fourth Proportional to 279.07, 417.07 and 257.18

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Solution

The fourth proportional to 279.07, 417.07 and 257.18 is: 384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.07 : 417.07 = 257.18 : x
  2. Step 2: Convert to fraction form
    279.07/417.07 = 257.18/x
  3. Step 3: Cross multiply
    279.07x = 417.07 × 257.18
  4. Step 4: Simplify right side
    279.07x = 107,262.06
  5. Step 5: Solve for x
    x = 107,262.06/279.07
  6. Step 6: Final answer
    x = 384.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.