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Finding the Fourth Proportional to 290.01, 432.77 and 259.34

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Solution

The fourth proportional to 290.01, 432.77 and 259.34 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.01 : 432.77 = 259.34 : x
  2. Step 2: Convert to fraction form
    290.01/432.77 = 259.34/x
  3. Step 3: Cross multiply
    290.01x = 432.77 × 259.34
  4. Step 4: Simplify right side
    290.01x = 112,231.11
  5. Step 5: Solve for x
    x = 112,231.11/290.01
  6. Step 6: Final answer
    x = 386.99

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Why These Related Problems?

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