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Finding the Fourth Proportional to 328.63, 491.47 and 292.29

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Solution

The fourth proportional to 328.63, 491.47 and 292.29 is: 437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.63 : 491.47 = 292.29 : x
  2. Step 2: Convert to fraction form
    328.63/491.47 = 292.29/x
  3. Step 3: Cross multiply
    328.63x = 491.47 × 292.29
  4. Step 4: Simplify right side
    328.63x = 143,653.19
  5. Step 5: Solve for x
    x = 143,653.19/328.63
  6. Step 6: Final answer
    x = 437.13

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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.