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Finding the Fourth Proportional to 328.61, 489.64 and 292.25

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Solution

The fourth proportional to 328.61, 489.64 and 292.25 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.61 : 489.64 = 292.25 : x
  2. Step 2: Convert to fraction form
    328.61/489.64 = 292.25/x
  3. Step 3: Cross multiply
    328.61x = 489.64 × 292.25
  4. Step 4: Simplify right side
    328.61x = 143,099.79
  5. Step 5: Solve for x
    x = 143,099.79/328.61
  6. Step 6: Final answer
    x = 435.48

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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.