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Finding the Fourth Proportional to 545.01, 751.86 and 312

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Solution

The fourth proportional to 545.01, 751.86 and 312 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.01 : 751.86 = 312 : x
  2. Step 2: Convert to fraction form
    545.01/751.86 = 312/x
  3. Step 3: Cross multiply
    545.01x = 751.86 × 312
  4. Step 4: Simplify right side
    545.01x = 234,580.32
  5. Step 5: Solve for x
    x = 234,580.32/545.01
  6. Step 6: Final answer
    x = 430.41

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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.