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Finding the Fourth Proportional to 290.00, 432.15 and 282.08

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Solution

The fourth proportional to 290.00, 432.15 and 282.08 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 432.15 = 282.08 : x
  2. Step 2: Convert to fraction form
    290.00/432.15 = 282.08/x
  3. Step 3: Cross multiply
    290.00x = 432.15 × 282.08
  4. Step 4: Simplify right side
    290.00x = 121,898.71
  5. Step 5: Solve for x
    x = 121,898.71/290.00
  6. Step 6: Final answer
    x = 420.35

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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.