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Finding the Fourth Proportional to 355.68, 488.86 and 313.98

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Solution

The fourth proportional to 355.68, 488.86 and 313.98 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 488.86 = 313.98 : x
  2. Step 2: Convert to fraction form
    355.68/488.86 = 313.98/x
  3. Step 3: Cross multiply
    355.68x = 488.86 × 313.98
  4. Step 4: Simplify right side
    355.68x = 153,492.26
  5. Step 5: Solve for x
    x = 153,492.26/355.68
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.