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Finding the Fourth Proportional to 314.88, 469.80 and 290.64

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Solution

The fourth proportional to 314.88, 469.80 and 290.64 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 469.80 = 290.64 : x
  2. Step 2: Convert to fraction form
    314.88/469.80 = 290.64/x
  3. Step 3: Cross multiply
    314.88x = 469.80 × 290.64
  4. Step 4: Simplify right side
    314.88x = 136,542.67
  5. Step 5: Solve for x
    x = 136,542.67/314.88
  6. Step 6: Final answer
    x = 433.63

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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.