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Finding the Fourth Proportional to 375.93, 564.02 and 290.25

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Solution

The fourth proportional to 375.93, 564.02 and 290.25 is: 435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 564.02 = 290.25 : x
  2. Step 2: Convert to fraction form
    375.93/564.02 = 290.25/x
  3. Step 3: Cross multiply
    375.93x = 564.02 × 290.25
  4. Step 4: Simplify right side
    375.93x = 163,705.35
  5. Step 5: Solve for x
    x = 163,705.35/375.93
  6. Step 6: Final answer
    x = 435.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.