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Finding the Fourth Proportional to 347.51, 478.59 and 288.76

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Solution

The fourth proportional to 347.51, 478.59 and 288.76 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.51 : 478.59 = 288.76 : x
  2. Step 2: Convert to fraction form
    347.51/478.59 = 288.76/x
  3. Step 3: Cross multiply
    347.51x = 478.59 × 288.76
  4. Step 4: Simplify right side
    347.51x = 138,197.65
  5. Step 5: Solve for x
    x = 138,197.65/347.51
  6. Step 6: Final answer
    x = 397.68

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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.