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Finding the Fourth Proportional to 334.58, 498.51 and 312.50

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Solution

The fourth proportional to 334.58, 498.51 and 312.50 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.58 : 498.51 = 312.50 : x
  2. Step 2: Convert to fraction form
    334.58/498.51 = 312.50/x
  3. Step 3: Cross multiply
    334.58x = 498.51 × 312.50
  4. Step 4: Simplify right side
    334.58x = 155,782.81
  5. Step 5: Solve for x
    x = 155,782.81/334.58
  6. Step 6: Final answer
    x = 465.61

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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.