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Finding the Fourth Proportional to 290.13, 436.93 and 264.21

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Solution

The fourth proportional to 290.13, 436.93 and 264.21 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 436.93 = 264.21 : x
  2. Step 2: Convert to fraction form
    290.13/436.93 = 264.21/x
  3. Step 3: Cross multiply
    290.13x = 436.93 × 264.21
  4. Step 4: Simplify right side
    290.13x = 115,437.77
  5. Step 5: Solve for x
    x = 115,437.77/290.13
  6. Step 6: Final answer
    x = 397.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.