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Finding the Fourth Proportional to 406.65, 560.61 and 290.01

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Solution

The fourth proportional to 406.65, 560.61 and 290.01 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 560.61 = 290.01 : x
  2. Step 2: Convert to fraction form
    406.65/560.61 = 290.01/x
  3. Step 3: Cross multiply
    406.65x = 560.61 × 290.01
  4. Step 4: Simplify right side
    406.65x = 162,582.51
  5. Step 5: Solve for x
    x = 162,582.51/406.65
  6. Step 6: Final answer
    x = 399.81

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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.