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Finding the Fourth Proportional to 290.42, 437.47 and 265.51

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Solution

The fourth proportional to 290.42, 437.47 and 265.51 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 437.47 = 265.51 : x
  2. Step 2: Convert to fraction form
    290.42/437.47 = 265.51/x
  3. Step 3: Cross multiply
    290.42x = 437.47 × 265.51
  4. Step 4: Simplify right side
    290.42x = 116,152.54
  5. Step 5: Solve for x
    x = 116,152.54/290.42
  6. Step 6: Final answer
    x = 399.95

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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.