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Finding the Fourth Proportional to 314.88, 469.50 and 281.68

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Solution

The fourth proportional to 314.88, 469.50 and 281.68 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 469.50 = 281.68 : x
  2. Step 2: Convert to fraction form
    314.88/469.50 = 281.68/x
  3. Step 3: Cross multiply
    314.88x = 469.50 × 281.68
  4. Step 4: Simplify right side
    314.88x = 132,248.76
  5. Step 5: Solve for x
    x = 132,248.76/314.88
  6. Step 6: Final answer
    x = 420.00

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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.