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Finding the Fourth Proportional to 412.66, 569.69 and 279.98

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Solution

The fourth proportional to 412.66, 569.69 and 279.98 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.66 : 569.69 = 279.98 : x
  2. Step 2: Convert to fraction form
    412.66/569.69 = 279.98/x
  3. Step 3: Cross multiply
    412.66x = 569.69 × 279.98
  4. Step 4: Simplify right side
    412.66x = 159,501.81
  5. Step 5: Solve for x
    x = 159,501.81/412.66
  6. Step 6: Final answer
    x = 386.52

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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.