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Finding the Fourth Proportional to 328.06, 452.61 and 210.05

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Solution

The fourth proportional to 328.06, 452.61 and 210.05 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 452.61 = 210.05 : x
  2. Step 2: Convert to fraction form
    328.06/452.61 = 210.05/x
  3. Step 3: Cross multiply
    328.06x = 452.61 × 210.05
  4. Step 4: Simplify right side
    328.06x = 95,071.07
  5. Step 5: Solve for x
    x = 95,071.07/328.06
  6. Step 6: Final answer
    x = 289.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.