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Finding the Fourth Proportional to 465.58, 642.45 and 290.98

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Solution

The fourth proportional to 465.58, 642.45 and 290.98 is: 401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 642.45 = 290.98 : x
  2. Step 2: Convert to fraction form
    465.58/642.45 = 290.98/x
  3. Step 3: Cross multiply
    465.58x = 642.45 × 290.98
  4. Step 4: Simplify right side
    465.58x = 186,940.10
  5. Step 5: Solve for x
    x = 186,940.10/465.58
  6. Step 6: Final answer
    x = 401.52

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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.