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Finding the Fourth Proportional to 289.00, 430.99 and 275.23

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Solution

The fourth proportional to 289.00, 430.99 and 275.23 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.00 : 430.99 = 275.23 : x
  2. Step 2: Convert to fraction form
    289.00/430.99 = 275.23/x
  3. Step 3: Cross multiply
    289.00x = 430.99 × 275.23
  4. Step 4: Simplify right side
    289.00x = 118,619.22
  5. Step 5: Solve for x
    x = 118,619.22/289.00
  6. Step 6: Final answer
    x = 410.45

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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.