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Finding the Fourth Proportional to 469.36, 647.80 and 290.00

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Solution

The fourth proportional to 469.36, 647.80 and 290.00 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.36 : 647.80 = 290.00 : x
  2. Step 2: Convert to fraction form
    469.36/647.80 = 290.00/x
  3. Step 3: Cross multiply
    469.36x = 647.80 × 290.00
  4. Step 4: Simplify right side
    469.36x = 187,859.25
  5. Step 5: Solve for x
    x = 187,859.25/469.36
  6. Step 6: Final answer
    x = 400.24

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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.