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Finding the Fourth Proportional to 294.76, 407.10 and 290.71

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Solution

The fourth proportional to 294.76, 407.10 and 290.71 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 407.10 = 290.71 : x
  2. Step 2: Convert to fraction form
    294.76/407.10 = 290.71/x
  3. Step 3: Cross multiply
    294.76x = 407.10 × 290.71
  4. Step 4: Simplify right side
    294.76x = 118,348.04
  5. Step 5: Solve for x
    x = 118,348.04/294.76
  6. Step 6: Final answer
    x = 401.51

Related Problems

Find fourth proportional to 147.38, 203.55 and 145.36
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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.