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Finding the Fourth Proportional to 369.05, 508.66 and 258.32

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Solution

The fourth proportional to 369.05, 508.66 and 258.32 is: 356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.05 : 508.66 = 258.32 : x
  2. Step 2: Convert to fraction form
    369.05/508.66 = 258.32/x
  3. Step 3: Cross multiply
    369.05x = 508.66 × 258.32
  4. Step 4: Simplify right side
    369.05x = 131,397.68
  5. Step 5: Solve for x
    x = 131,397.68/369.05
  6. Step 6: Final answer
    x = 356.05

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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.